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Finding the Third Proportional to 15,864.38 and 37,583.63

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Solution

The third proportional to 15,864.38 and 37,583.63 is: 89,037.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,864.38 : 37,583.63 = 37,583.63 : x
  2. Step 2: Convert to fraction form
    15,864.38/37,583.63 = 37,583.63/x
  3. Step 3: Cross multiply
    15,864.38x = 37,583.63 × 37,583.63
  4. Step 4: Simplify right side
    15,864.38x = 1,412,528,868.14
  5. Step 5: Solve for x
    x = 1,412,528,868.14/15,864.38
  6. Step 6: Final answer
    x = 89,037.79

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.